Least Common Multiple of 4663 and 4669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4663 and 4669 the smallest integer that is 21771547 that is divisible by both numbers.

Least Common Multiple (LCM) of 4663 and 4669 is 21771547.

LCM(4663,4669) = 21771547

LCM of 4663 and 4669

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4663 and 4669

LCM of 4663 and 4669 is 21771547

Least common multiple can be found by multiplying the highest exponent prime factors of 4663 and 4669. First we will calculate the prime factors of 4663 and 4669.

Prime Factorization of 4663


4663 4663
1

Prime factors of 4663 are 4663. Prime factorization of 4663 in exponential form is:

4663 = 46631

Prime Factorization of 4669


7 4669
23 667
29 29
1

Prime factors of 4669 are 7, 23,29. Prime factorization of 4669 in exponential form is:

4669 = 71×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4663 and 4669.

LCM(4663,4669) = 71×231×291×46631
LCM(4663,4669) = 21771547

Factors of 4663

List of positive integer factors of 4663 that divides 4663 without a remainder.

1, 4663

Factors of 4669

List of positive integer factors of 4669 that divides 4669 without a remainder.

1, 7, 23, 29, 161, 203, 667, 4669

Least Common Multiple of 4663 and 4669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4663 and 4669, than apply into the LCM equation.

GCF(4663,4669) = 1
LCM(4663,4669) = ( 4663 × 4669) / 1
LCM(4663,4669) = 21771547 / 1
LCM(4663,4669) = 21771547

Properties of LCM 4663 and 4669

(i) The LCM of 4669 and 4663 is associative

LCM of 4663 and 4669 = LCM of 4669 and 4663

Related Least Common Multiples of 4663

Related Least Common Multiples of 4669

Frequently Asked Questions on LCM of 4663 and 4669

1. What is the LCM of 4663 and 4669?

Answer: LCM of 4663 and 4669 is 21771547.

2. What are the Factors of 4663?

Answer: Factors of 4663 are 1, 4663. There are 2 integers that are factors of 4663. The greatest factor of 4663 is 4663.

3. What are the Factors of 4669?

Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.

4. How to Find the LCM of 4663 and 4669?

Answer:

Least Common Multiple of 4663 and 4669 = 21771547

Step 1: Find the prime factorization of 4663

4663 = 4663

Step 2: Find the prime factorization of 4669

4669 = 7 x 23 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 21771547 = 7 x 23 x 29 x 4663

Step 4: Therefore, the least common multiple of 4663 and 4669 is 21771547.